Moduli of Riemann Surfaces, Real Algebraic Curves, and Their Superanalogs (Translations of Mathematical Monographs)

The space of all Riemann surfaces (the so-called moduli space) plays an important role in algebraic geometry and its applications to quantum field theory. The present book is devoted to the study of topological properties of this space and of similar moduli spaces, such as the space of real algebraic curves, the space of mappings, and also superanalogs of all these spaces. The book can be used by researchers and graduate students working in algebraic geometry, topology, and mathematical physics. Content: Introduction Moduli of Riemann surfaces, Hurwitz type spaces and their superanalogs Moduli of real algebraic curves and their superanalogs. Differentials, spinors, and Jacobians of real curves Spaces of meromorphic functions on complex and real algebraic curves Bibliography Index.